Please show steps so I can recreate the work and undertand it. Thank you (a) The

Question

Please show steps so I can recreate the work and undertand it. Thank you

(a) The volume V of a growing spherical cell is

where the radius is measured in micrometers (1 ?m = 10?6m). Find the average rate of change of V with respect to r when r changes from 2 to each of the following. (Round your answers to one decimal place.)

(i)    2 to 5 ?m
?m3/?m

(ii)    2 to 3 ?m
?m3/?m

(iii)    2 to 2.1 ?m
?m3/?m

(b) Find the instantaneous rate of change of V with respect to r when r = 2 ?m. (Round your answer to one decimal place.)
V'(2) =  ?m3 / ?m

Please show steps so I can recreate the work and undertand it. Thank you (a) The volume V of a growing spherical cell is V=(4pi r^3)/3 where the radius is measured in micrometers (1 ½m = 10?6m). Find the average rate of change of V with respect to r when r changes from 2 to each of the following. (Round your answers to one decimal place.) (i) 2 to 5 ½m ½m3/½m (ii) 2 to 3 ½m ½m3/½m (iii) 2 to 2.1 ½m ½m3/½m (b) Find the instantaneous rate of change of V with respect to r when r = 2 ½m. (Round your answer to one decimal place.) V'(2) = ½m3 / ½m

Explanation / Answer

Use the secant slope to work out the computation.. For instance..

(i)    2 to 5

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